Wound the 5.3 tight! Does it have a Rev limiter?

I was passing this no driving cell phone talking fool earlier and sure turned my little motor up real tight real quick. Where I was at I was not able to look at the Tach because I was too busy concentrating on not crashing.

Does a 03 Silverado 2WD have a rev limiter?
There is no redline on the Tach.

I stomped it from about a 25mph roll and it downshifted hard and then wound up real tight, real fast. It seemed like it had to be above 5000rpm when I let off a little and let it shift and then hammered it again.